1,633,750

2 × 5⁴ × 1307

Starting at 1,633,750, the Collatz iteration reaches 1 after 207 steps. The first transition is 816875; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^4 × 1307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 3,064,644

Proper Divisor Sum 1,430,894

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1633747 ← → #1633757

Radix Representation

Decimal	1633750
Binary	110001110110111010110 (21 bits)
Octal	0o6166726
Hexadecimal	0x18EDD6

Divisor Catalog (20)

1 2 5 10 25 50 125 250 625 1,250 1,307 2,614 6,535 13,070 32,675 65,350 163,375 326,750 816,875 1,633,750

Collatz Trajectory (207 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,633,750 816,875 2,450,626 1,225,313 3,675,940 1,837,970 918,985 2,756,956 1,378,478 689,239 2,067,718 1,033,859 3,101,578 1,550,789 4,652,368 2,326,184 1,163,092 581,546 290,773 872,320 436,160 218,080 109,040 54,520 27,260 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367

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